Lyapunov vectors and error growth patterns in a T21L3 quasigeostrophic model

Journal of the Atmospheric Sciences

Volumn 54, Issue 2, 1997, Pages 347-361

  Vannitsem, S ^a   Nicolis, C ^a  

^a ROYAL METEOROLOGICAL INSTITUTE OF BELGIUM   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERIC DYNAMICS; ERROR; LYAPUNOV VECTOR; MODEL; QUASI GEOSTROPHIC FLOW;

EID: 0031450335     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0469(1997)054<0347:LVAEGP>2.0.CO;2     Document Type: Article

References (35)

1. Basdevant, C., B. Legras, and R. Sadourny, 1981: A study of barotropic model flows: Intermittency, waves and predictability. J. Atmos. Sci., 38, 2305-2326.
2. Buizza, R., and T. N. Palmer, 1995: The singular-vector structure of the atmospheric general circulation. J. Atmos. Sci., 52, 1434-1456.
3. Dalcher, A., and E. Kalnay, 1987: Error growth and predictability in operational ECMWF forecasts. Tellus, 39A, 474-491.
4. Eckmann, J.-P., and D. Ruelle, 1985: Ergodic theory of chaos and strange attractors. Rev. Mod. Phys., 57, 617-654.
5. Farrell, B. F., 1982: The initial growth of disturbances in a baroclinic flow. J. Atmos. Sci., 39, 1663-1686.
6. _, 1989: Optimal excitation of baroclinic waves. J. Atmos. Sci., 46, 1193-1206.
7. Hartmann, D. L., R. Buizza, and T. N. Palmer, 1995: Singular vectors: The effect of spatial scale on linear growth of disturbances. J. Atmos. Sci., 52, 3885-3894.
8. Holloway, G., 1983: Effects of planetary wave propagation and finite depth on the predictability of atmospheres. J. Atmos. Sci., 40, 314-327.
9. Krishnamurthy, V., 1993: A predictability study of Lorenz's 28-variable model as dynamical system. J. Atmos. Sci., 50, 2215-2229.
10. Lacarra, J.-F., and O. Talagrand, 1988: Short-range evolution of small perturbations in a barotropic model. Tellus, 17, 321-333.
11. Laursen, L., and E. Eliasen, 1989: On the effects of the damping mechanisms in an atmospheric general circulation model. Tellus, 41A, 385-400.
12. Lorenz, E. N., 1963: Deterministic nonperiodic flow. J. Atmos. Sci., 20, 130-141.
13. Malguzzi, P., A. Trevisan, and A. Speranza, 1990: Statistics and predictability for an intermediate dimensionality model of the baroclinic jet. Ann. Geophys., 8, 29-36.
14. Marshall, J., and F. Molteni, 1993: Toward a dynamical understanding of planetary-scale flow regimes. J. Atmos. Sci., 50, 1792-1818.
15. McWilliams, J. C., and H. S. Chow, 1981: Equilibrium geostrophic turbulence I: A reference solution in a β-plane channel. J. Phys. Oceanogr., 11, 921-949.
16. Molteni, F., and T. N. Palmer, 1993: Predictability and finite-time instability of the northern winter circulation. Quart. J. Roy. Meteor. Soc., 119, 269-298.
17. _, R. Buizza, T. N. Palmer, and T. Petroliagis, 1996: The ECMWF ensemble prediction system: Methodology and validation. Quart. J. Roy. Meteor. Soc., 122, 73-119.
18. Nicolis, C., 1992: Probabilistic aspects of error growth in atmospheric dynamics. Quart. J. Roy. Meteor. Soc., 118, 553-568.
19. _, and G. Nicolis, 1993: Finite time behavior of small errors in deterministic chaos and Lyapunov exponents. Bifurcation Chaos, 3, 1339-1342.
20. _, _, and Q. Wang, 1993: Sensitivity to initial conditions in spatially distributed systems. Bifurcation Chaos, 2, 263-269.
21. _, S. Vannitsem, and J.-F. Royer, 1995: Short range predictability of the atmosphere and Lyapunov exponents. Quart. J. Roy. Meteor. Soc., 121, 705-722.
22. Ott, E., 1993: Chaos in Dynamical Systems. Cambridge University Press, 385 pp.
23. Palmer, T. N., R. Buizza, E Molteni, Y.-C. Chen, and S. Corti, 1994: Singular vectors and the predictability of weather and climate. Philos. Trans. Roy. Soc. London, Ser. A, 348, 459-475.
24. Schubert, S. D., and M. Suarez, 1989: Dynamical predictability in a simple general circulation model: Average error growth. J. Atmos. Sci., 46, 353-370.
25. Shimada, I., and T. Nagashima, 1979: A numerical approach of dissipative dynamical systems. Prog. Theor. Phys., 61, 1605-1616.
26. Stroe, R., and J.-F. Royer, 1993: Comparison of different error growth formulas and predictability estimation in numerical extended-range forecasts. Ann. Geophys., 11, 296-316.
27. Thompson, P. D., 1957: Uncertainty of initial state as a factor in the predictability of large scale atmospheric flow patterns. Tellus, 9, 275-295.
28. Toth, Z., and E. Kalnay, 1993: Ensemble forecasting at NMC: The generation of perturbations. Bull. Amer. Meteor. Soc., 74, 2317-2330.
29. _, and _, 1995: Ensemble forecasting at NMC and the breeding method. NMC Office Note 407, 34 pp.
30. Trevisan, A., 1993: Impact of transient error growth on global average predictability measures. J. Atmos. Sci., 50, 1016-1028.
31. _, and R. Legnani, 1995: Transient error growth and local predictability: A study in the Lorenz system. Tellus, 47A, 103-117.
32. Vallis, G. K., 1983: On the predictability of quasi-geostrophic flow: The effects of beta and baroclinicity. J. Atmos. Sci., 40, 10-27.
33. Vannitsem, S., and C. Nicolis, 1994: Predictability experiments on a simplified thermal convection model: The role of spatial scales. J. Geophys. Res., 99, 10377-10385.
34. Vastano, J. A., and R. D. Moser, 1991: Short-time Lyapunov exponent analysis and the transition to chaos in Taylor-Couette flow. J. Fluid Mech., 233, 83-118.
35. Zero, J., S. Shubert, and M. Suarez, 1991: A statistical analysis of short-term error growth in a simplified spectral GCM. Preprints, Ninth Conf. on Numerical Weather Prediction, Denver, CO, Amer. Meteor. Soc., 528-529.